Question

the sum of digits of a two digit number is 9 the number obtained by interchanging the digit exceeds the original number by 45 .find the number​

Answer 1

Answer:

Step-by-step explanation:

Let the number be 10x+y

Given. x+y=9.....…(1)

When the no. Is interchanged

So no. Is 10y+x

10y+x-(10y+x)=45

So,

9(y-x)=45

y-x=5. .......(2)

Subtract (2) from (1)

x+y-y+x=9-5

2x=4

X=2

From (1) y=7

So no.is 10x+y=27